Self-Driving Car Engineer Nanodegree
Deep Learning
Project: Build a Traffic Sign Recognition Classifier
In this notebook, a template is provided for you to implement your functionality in stages, which is required to successfully complete this project. If additional code is required that cannot be included in the notebook, be sure that the Python code is successfully imported and included in your submission if necessary.
Note: Once you have completed all of the code implementations, you need to finalize your work by exporting the iPython Notebook as an HTML document. Before exporting the notebook to html, all of the code cells need to have been run so that reviewers can see the final implementation and output. You can then export the notebook by using the menu above and navigating to \n", "File -> Download as -> HTML (.html). Include the finished document along with this notebook as your submission.
In addition to implementing code, there is a writeup to complete. The writeup should be completed in a separate file, which can be either a markdown file or a pdf document. There is a write up template that can be used to guide the writing process. Completing the code template and writeup template will cover all of the rubric points for this project.
The rubric contains "Stand Out Suggestions" for enhancing the project beyond the minimum requirements. The stand out suggestions are optional. If you decide to pursue the "stand out suggestions", you can include the code in this Ipython notebook and also discuss the results in the writeup file.
Note: Code and Markdown cells can be executed using the Shift + Enter keyboard shortcut. In addition, Markdown cells can be edited by typically double-clicking the cell to enter edit mode.
Step 0: Load The Data
# Load pickled data import pickle # Importing my own choice import numpy as np import tensorflow as tf from sklearn.utils import shuffle # TODO: Fill this in based on where you saved the training and testing data training_file = 'traffic-signs-data/train.p' testing_file = 'traffic-signs-data/test.p' with open(training_file, mode='rb') as f: train = pickle.load(f) with open(testing_file, mode='rb') as f: test = pickle.load(f) X_train, y_train = train['features'], train['labels'] X_test, y_test = test['features'], test['labels'] print() print("Image Shape: {}".format(X_train[0].shape)) print() print("Training Set: {} samples".format(len(X_train))) print("Test Set: {} samples".format(len(X_test)))
Image Shape: (32, 32, 3) Training Set: 34799 samples Test Set: 12630 samples
Step 1: Dataset Summary & Exploration
The pickled data is a dictionary with 4 key/value pairs:
'features'
is a 4D array containing raw pixel data of the traffic sign images, (num examples, width, height, channels).'labels'
is a 1D array containing the label/class id of the traffic sign. The filesignnames.csv
contains id -> name mappings for each id.'sizes'
is a list containing tuples, (width, height) representing the original width and height the image.'coords'
is a list containing tuples, (x1, y1, x2, y2) representing coordinates of a bounding box around the sign in the image. THESE COORDINATES ASSUME THE ORIGINAL IMAGE. THE PICKLED DATA CONTAINS RESIZED VERSIONS (32 by 32) OF THESE IMAGES
Complete the basic data summary below. Use python, numpy and/or pandas methods to calculate the data summary rather than hard coding the results. For example, the pandas shape method might be useful for calculating some of the summary results.
Provide a Basic Summary of the Data Set Using Python, Numpy and/or Pandas
### Replace each question mark with the appropriate value. ### Use python, pandas or numpy methods rather than hard coding the results # TODO: Number of training examples n_train = X_train.shape[0] # TODO: Number of testing examples. n_test = X_test.shape[0] # TODO: What's the shape of an traffic sign image? image_shape = (X_train.shape[1], X_train.shape[2], X_train.shape[3]) # TODO: How many unique classes/labels there are in the dataset. n_classes = y_train.max() + 1 print("Number of training examples =", n_train) print("Number of testing examples =", n_test) print("Image data shape =", image_shape) print("Number of classes =", n_classes)
Number of training examples = 34799 Number of testing examples = 12630 Image data shape = (32, 32, 3) Number of classes = 43
Include an exploratory visualization of the dataset
Visualize the German Traffic Signs Dataset using the pickled file(s). This is open ended, suggestions include: plotting traffic sign images, plotting the count of each sign, etc.
The Matplotlib examples and gallery pages are a great resource for doing visualizations in Python.
NOTE: It's recommended you start with something simple first. If you wish to do more, come back to it after you've completed the rest of the sections.
### Data exploration visualization code goes here. ### Feel free to use as many code cells as needed. import matplotlib.pyplot as plt from random import randint # Visualizations will be shown in the notebook. %matplotlib inline num_of_samples=[] plt.figure(figsize=(12, 16.5)) for i in range(0, n_classes): plt.subplot(11, 4, i+1) x_selected = X_train[y_train == i] plt.imshow(x_selected[0, :, :, :]) #draw the first image of each class plt.title(i) plt.axis('off') num_of_samples.append(len(x_selected)) plt.show()
Plot number of images per class
### Data exploration visualization code goes here. ### Feel free to use as many code cells as needed. import matplotlib.pyplot as plt from random import randint %matplotlib inline #Plot number of images per class plt.figure(figsize=(12, 4)) plt.bar(range(0, n_classes), num_of_samples) plt.title("Distribution of the train dataset") plt.xlabel("Class number") plt.ylabel("Number of images") plt.show() print("Min number of images per class =", min(num_of_samples)) print("Max number of images per class =", max(num_of_samples))
Min number of images per class = 180 Max number of images per class = 2010
Step 2: Design and Test a Model Architecture
Design and implement a deep learning model that learns to recognize traffic signs. Train and test your model on the German Traffic Sign Dataset.
The LeNet-5 implementation shown in the classroom at the end of the CNN lesson is a solid starting point. You'll have to change the number of classes and possibly the preprocessing, but aside from that it's plug and play!
With the LeNet-5 solution from the lecture, you should expect a validation set accuracy of about 0.89. To meet specifications, the validation set accuracy will need to be at least 0.93. It is possible to get an even higher accuracy, but 0.93 is the minimum for a successful project submission.
There are various aspects to consider when thinking about this problem:
- Neural network architecture (is the network over or underfitting?)
- Play around preprocessing techniques (normalization, rgb to grayscale, etc)
- Number of examples per label (some have more than others).
- Generate fake data.
Here is an example of a published baseline model on this problem. It's not required to be familiar with the approach used in the paper but, it's good practice to try to read papers like these.
2.1: Preprocess the Data Set (normalization, grayscale, etc.)
Use the code cell (or multiple code cells, if necessary) to implement the first step of your project.
2.1.1: Preprocessing Function
### Preprocess the data here. Preprocessing steps could include normalization, converting to grayscale, etc. ### Feel free to use as many code cells as needed. import cv2 from numpy import newaxis # Iterates through grayscale for each image in the data def gray_maker(data): gray_images = [] for image in data: gray = cv2.cvtColor(image, cv2.COLOR_BGR2GRAY) gray_images.append(gray) return np.array(gray_images) def preprocess(data,data_name,verbose): if verbose: print('Preprocessing '+ data_name + '...') # Iterate through grayscale data = gray_maker(data) data = data[..., newaxis] #Normalizes the data between 0.1 and 0.9 instead of 0 to 255 data = data / 255 * 0.8 + 0.1 if verbose: print('Finished preprocessing '+ data_name + '...') # Double-check that the image is changed to depth of 1 image_shape = data.shape if verbose: print('Processed '+ data_name + ' shape =', image_shape) print(" ") return data
2.1.2: Preprocessing all data
X_train = preprocess(X_train,'train_data',verbose = True) X_test = preprocess(X_test,'test_data',verbose = True)
Preprocessing train_data... Finished preprocessing train_data... Processed train_data shape = (34799, 32, 32, 1) Preprocessing test_data... Finished preprocessing test_data... Processed test_data shape = (12630, 32, 32, 1)
2.1.3: After Preprocessing
# Visualizations will be shown in the notebook. %matplotlib inline num_of_samples=[] plt.figure(figsize=(12, 16.5)) for i in range(0, n_classes): plt.subplot(11, 4, i+1) x_selected_grey = X_train[y_train == i] #draw the first image of each class plt.imshow(x_selected_grey[0, :, :, 0], cmap = 'gray') plt.title(i) plt.axis('off') num_of_samples.append(len(x_selected)) plt.show()
2.1.4: Generate fake data
I will generate some additional data, then split the data in a later cell. This is to help with the issue identified in the original histogram
### Generate fake data from scipy import ndimage import random # min_desired below is just mean_pics but wanted to # make the code below easier to distinguish def fake_data_generator(X,y,verbose): '''X = feature data , y = label data''' pics_per_class = np.bincount(y) mean_pics = int(np.mean(pics_per_class)) if verbose: print('Generating new data.') # Angles to be used to rotate images in additional data made angles = [-10, 10, -15, 15, -20, 20] # Iterate through each class for i in range(len(pics_per_class)): # Check if less data than the mean if pics_per_class[i] < mean_pics: # Count how many additional pictures we want new_wanted = mean_pics - pics_per_class[i] picture = np.where(y == i) more_X = [] more_y = [] # Make the number of additional pictures needed to arrive at the mean for num in range(new_wanted): # Rotate images and append new ones to more_X, append the class to more_y more_X.append(ndimage.rotate(X[picture][random.randint(0,pics_per_class[i] - 1)],\ random.choice(angles), reshape=False)) more_y.append(i) # Append the pictures generated for each class back to the original data X = np.append(X, np.array(more_X), axis=0) y = np.append(y, np.array(more_y), axis=0) if verbose: print('Additional data generated. Any classes lacking data now have',mean_pics, 'pictures.') return X,y
X_train, y_train = fake_data_generator(X_train,y_train,verbose = True)
Generating new data. Additional data generated. Any classes lacking data now have 809 pictures.
2.1.5: Histogram representing data distribution in all classes
plt.hist(y_train, bins = n_classes) updated_n_train = len(X_train) print("The updated number of training examples =", updated_n_train)
The updated number of training examples = 46714
Data summary
n_train = X_train.shape[0] n_test = X_test.shape[0] print("Number of training examples =", n_train) print("Number of testing examples =", n_test) print("Extra data generated =",n_train-34799)
Number of training examples = 46714 Number of testing examples = 12630 Extra data generated = 11915
Splitting Train and Validation data
from sklearn.model_selection import train_test_split # shuffleing data X_train, y_train = shuffle(X_train, y_train) # For each epoch, there are separate training data and validation data X_train, X_valid, y_train, y_valid\ = train_test_split(X_train, y_train,\ stratify = y_train,\ test_size=0.1,\ random_state=23) n_train = X_train.shape[0] n_valid = X_valid.shape[0] print("Number of training examples =", n_train) print("Number of validation examples =", n_valid)
Number of training examples = 42042 Number of validation examples = 4672
2.2 : Model Architecture
2.2.1: Neural Network Function
### Define your architecture here. ### Feel free to use as many code cells as needed. # The below is only necessary to reset if the notebook has not been shutdown tf.reset_default_graph() from tensorflow.contrib.layers import flatten def neuralNetwork(x): # Hyperparameters mu = 0 sigma = 0.1 #============================================================== # Layer 1: Convolutional. Input = 32x32x1. Output = 28x28x6. # Weight and bias # If not using grayscale, the third number in shape would be 3 c1_weight = tf.Variable(tf.truncated_normal(shape = (5, 5, 1, 6),\ mean = mu,\ stddev = sigma)) c1_bias = tf.Variable(tf.zeros(6)) # Apply convolution conv_layer1 = tf.nn.conv2d(x, c1_weight,\ strides=[1, 1, 1, 1],\ padding='VALID')\ + c1_bias # Activation for layer 1 conv_layer1 = tf.nn.relu(conv_layer1) # Pooling. Input = 28x28x6. Output = 14x14x6. conv_layer1 = tf.nn.avg_pool(conv_layer1,\ ksize=[1, 2, 2, 1],\ strides=[1, 2, 2, 1],\ padding='VALID') #================================================================ # Layer 2: Convolutional. Output = 10x10x16. # Note: The second layer is implemented the exact same as layer one, # with layer 1 as input instead of x And then of course changing the #numbers to fit the desired ouput of 10x10x16 Weight and bias c2_weight = tf.Variable(tf.truncated_normal(shape = (5, 5, 6, 16),\ mean = mu,\ stddev = sigma)) c2_bias = tf.Variable(tf.zeros(16)) # Apply convolution for layer 2 conv_layer2 = tf.nn.conv2d(conv_layer1, c2_weight,\ strides=[1, 1, 1, 1],\ padding='VALID') + c2_bias # Activation for layer 2 conv_layer2 = tf.nn.relu(conv_layer2) # Pooling. Input = 10x10x16. Output = 5x5x16. conv_layer2 = tf.nn.avg_pool(conv_layer2,\ ksize=[1, 2, 2, 1],\ strides=[1, 2, 2, 1],\ padding='VALID') # Flatten to get to fully connected layers. Input = 5x5x16. Output = 400. flat = tf.contrib.layers.flatten(conv_layer2) #=============================================================== # Layer 3: Fully Connected. Input = 400. Output = 120. # Although this is fully connected, the weights and biases still are implemented similarly # There is no filter this time, so shape only takes input and output # Weight and bias fc1_weight = tf.Variable(tf.truncated_normal(shape = (400, 200),\ mean = mu,\ stddev = sigma)) fc1_bias = tf.Variable(tf.zeros(200)) # Here is the main change versus a convolutional layer - matrix multiplication instead of 2D convolution fc1 = tf.matmul(flat, fc1_weight) + fc1_bias # Activation for the first fully connected layer. # Same thing as before fc1 = tf.nn.relu(fc1) # Dropout, to prevent overfitting fc1 = tf.nn.dropout(fc1, keep_prob) #================================================================== # Layer 4: Fully Connected. Input = 120. Output = 84. # Same as the fc1 layer, just with updated output numbers fc2_weight = tf.Variable(tf.truncated_normal(shape = (200, 100),\ mean = mu,\ stddev = sigma)) fc2_bias = tf.Variable(tf.zeros(100)) # Again, matrix multiplication fc2 = tf.matmul(fc1, fc2_weight) + fc2_bias # Activation. fc2 = tf.nn.relu(fc2) # Dropout fc2 = tf.nn.dropout(fc2, keep_prob) #======================================================== # Layer 5 Fully Connected. Input = 84. Output = 43. # Since this is the final layer, output needs to match up with the number of classes fc3_weight = tf.Variable(tf.truncated_normal(shape = (100, 43),\ mean = mu, \ stddev = sigma)) fc3_bias = tf.Variable(tf.zeros(43)) # Again, matrix multiplication logits = tf.matmul(fc2, fc3_weight) + fc3_bias return logits
2.2.2: Create Placeholders
# Set placeholder variables for x, y, and the keep_prob for dropout # Also, one-hot encode y x = tf.placeholder(tf.float32, (None, 32, 32, 1)) y = tf.placeholder(tf.int32, (None)) keep_prob = tf.placeholder(tf.float32) one_hot_y = tf.one_hot(y, 43)
2.2.3: Pipeline
rate = 0.001 # loss functions, and optimizer logits = neuralNetwork(x) cross_entropy = tf.nn.softmax_cross_entropy_with_logits(logits, one_hot_y) loss_operation = tf.reduce_mean(cross_entropy) optimizer = tf.train.AdamOptimizer(learning_rate = rate) training_operation = optimizer.minimize(loss_operation)
2.2.4: Helper functions for train, validate and test
# The below is used in the validation part of the neural network correct_prediction = tf.equal(tf.argmax(logits, 1), tf.argmax(one_hot_y, 1)) accuracy_operation = tf.reduce_mean(tf.cast(correct_prediction, tf.float32)) def evaluate(X_data, y_data): num_examples = len(X_data) total_accuracy = 0 sess = tf.get_default_session() for offset in range(0, num_examples, BATCH_SIZE): batch_x, batch_y = X_data[offset:offset+BATCH_SIZE], y_data[offset:offset+BATCH_SIZE] accuracy = sess.run(accuracy_operation, feed_dict={x: batch_x, y: batch_y, keep_prob : 1.0}) total_accuracy += (accuracy * len(batch_x)) return total_accuracy / num_examples
2.3: Train, Validate and Test the Model
A validation set can be used to assess how well the model is performing. A low accuracy on the training and validation sets imply underfitting. A high accuracy on the training set but low accuracy on the validation set implies overfitting.
### Train your model here. ### Calculate and report the accuracy on the training and validation set. ### Once a final model architecture is selected, ### the accuracy on the test set should be calculated and reported as well. ### Feel free to use as many code cells as needed. EPOCHS = 20 BATCH_SIZE = 160 save_file = 'train_model.ckpt' saver = tf.train.Saver() with tf.Session() as sess: sess.run(tf.initialize_all_variables()) num_examples = len(X_train) print("Training...") print() for i in range(EPOCHS): # shuffleing data X_train, y_train = shuffle(X_train, y_train) # run session in each bach of data in a epoch for offset in range(0, num_examples, BATCH_SIZE): end = offset + BATCH_SIZE batch_x, batch_y = X_train[offset:end], y_train[offset:end] loss = sess.run(training_operation, feed_dict={x: batch_x,\ y: batch_y,\ keep_prob : 0.7}) # calculate validation accuracy once all batches are done in a epoch validation_accuracy = evaluate(X_valid, y_valid) print("EPOCH {} ...".format(i+1)) print("Validation Accuracy = {:.3f}".format(validation_accuracy)) print() # Save the model saver.save(sess, save_file) print('Trained Model Saved.')
WARNING:tensorflow:From <ipython-input-17-5811dfa87b2d>:17 in <module>.: initialize_all_variables (from tensorflow.python.ops.variables) is deprecated and will be removed after 2017-03-02. Instructions for updating: Use `tf.global_variables_initializer` instead. Training... EPOCH 1 ... Validation Accuracy = 0.701 EPOCH 2 ... Validation Accuracy = 0.831 EPOCH 3 ... Validation Accuracy = 0.877 EPOCH 4 ... Validation Accuracy = 0.906 EPOCH 5 ... Validation Accuracy = 0.924 EPOCH 6 ... Validation Accuracy = 0.934 EPOCH 7 ... Validation Accuracy = 0.948 EPOCH 8 ... Validation Accuracy = 0.956 EPOCH 9 ... Validation Accuracy = 0.959 EPOCH 10 ... Validation Accuracy = 0.970 EPOCH 11 ... Validation Accuracy = 0.969 EPOCH 12 ... Validation Accuracy = 0.973 EPOCH 13 ... Validation Accuracy = 0.972 EPOCH 14 ... Validation Accuracy = 0.975 EPOCH 15 ... Validation Accuracy = 0.978 EPOCH 16 ... Validation Accuracy = 0.978 EPOCH 17 ... Validation Accuracy = 0.980 EPOCH 18 ... Validation Accuracy = 0.977 EPOCH 19 ... Validation Accuracy = 0.982 EPOCH 20 ... Validation Accuracy = 0.984 Trained Model Saved.
Launch the model on the test data,train data and validation data
# Remove the previous weights and bias #tf.reset_default_graph() # Launch the model on the test data with tf.Session() as sess: saver.restore(sess, './train_model.ckpt') test_accuracy = sess.run(accuracy_operation,\ feed_dict={x: X_test,\ y: y_test,\ keep_prob : 1.0}) print('Test Accuracy: {}'.format(test_accuracy))
Test Accuracy: 0.9122723937034607
# Remove the previous weights and bias #tf.reset_default_graph() # Launch the model on the test data with tf.Session() as sess: saver.restore(sess, './train_model.ckpt') train_accuracy = sess.run(accuracy_operation,\ feed_dict={x:X_train,\ y: y_train,\ keep_prob : 1.0}) print('Train Accuracy: {}'.format(train_accuracy))
Train Accuracy: 0.9920793771743774
# Remove the previous weights and bias #tf.reset_default_graph() # Launch the model on the test data with tf.Session() as sess: saver.restore(sess, './train_model.ckpt') valid_accuracy = sess.run(accuracy_operation,\ feed_dict={x: X_valid,\ y: y_valid,\ keep_prob : 1.0}) print('validation Accuracy: {}'.format(valid_accuracy))
validation Accuracy: 0.9841609597206116
Step 3: Test a Model on New Images
To give yourself more insight into how your model is working, download at least five pictures of German traffic signs from the web and use your model to predict the traffic sign type.
You may find signnames.csv
useful as it contains mappings from the class id (integer) to the actual sign name.
3.1: Load and Output the Images
### Load the images and plot them here. ### Feel free to use as many code cells as needed. # Importing the images, and let's take a look at what we have! import os import matplotlib.image as mpimg web_pics = os.listdir("./web_pics/") # Show the images, add to a list to process for classifying web_pics_data = [] for i in web_pics: # Drop the mac's created '.DS_Store' file if i!= '.DS_Store': i = 'web_pics/' + i image = mpimg.imread(i) web_pics_data.append(image) k=0 plt.figure(figsize=(12,14)) for image in web_pics_data: plt.subplot(6, 3, k+1) plt.axis('off') plt.imshow(image) plt.title(i) k=k+1 plt.show()
3.2 : Predict the Sign Type for Each Image
### Run the predictions here and use the model to output the prediction for each image. ### Make sure to pre-process the images with the same pre-processing pipeline used earlier. ### Feel free to use as many code cells as needed. # Make into numpy array for processing web_pics_data = np.array(web_pics_data) # First, double-check the image shape to make sure it #matches the original data's 32x32x3 size print(web_pics_data.shape)
(5, 32, 32, 3)
3.2.1: Preprocess the new data
web_pics_data = preprocess(web_pics_data,'web_pics_data',verbose = True)
Preprocessing web_pics_data... Finished preprocessing web_pics_data... Processed web_pics_data shape = (5, 32, 32, 1)
3.2.2: Double-check that the image is changed to depth of 1
new_image_shape = web_pics_data.shape print("Processed additional web pictures shape =", new_image_shape)
Processed additional web pictures shape = (5, 32, 32, 1)
3.2.3: Prediction over new images
### Run the predictions here. ### Feel free to use as many code cells as needed. # Launch the model on the new pictures with tf.Session() as sess: saver.restore(sess, './train_model.ckpt') new_pics_classes = sess.run(logits, feed_dict={x: web_pics_data,\ keep_prob : 1.0})
3.3: Analyze Performance
### Calculate the accuracy for these 5 new images. ### For example, if the model predicted 1 out of 5 signs correctly, it's 20% accurate on these new images. with tf.Session() as sess: predicts = sess.run(tf.nn.top_k(new_pics_classes, k=5, sorted=True)) signId = [] for i in range(len(predicts[0])): print( 'predicted classes:', predicts[1][i][0]) signId.append(predicts[1][i][0])
predicted classes: 14 predicted classes: 13 predicted classes: 18 predicted classes: 34 predicted classes: 2
import pandas as pd sign_name = pd.read_csv('signnames.csv') sign_name = pd.DataFrame(sign_name)
sign_name.columns
Index(['ClassId', 'SignName'], dtype='object')
sign = {} for k in range(43): sign[sign_name['ClassId'][k]] = sign_name['SignName'][k]
sign
{0: 'Speed limit (20km/h)', 1: 'Speed limit (30km/h)', 2: 'Speed limit (50km/h)', 3: 'Speed limit (60km/h)', 4: 'Speed limit (70km/h)', 5: 'Speed limit (80km/h)', 6: 'End of speed limit (80km/h)', 7: 'Speed limit (100km/h)', 8: 'Speed limit (120km/h)', 9: 'No passing', 10: 'No passing for vehicles over 3.5 metric tons', 11: 'Right-of-way at the next intersection', 12: 'Priority road', 13: 'Yield', 14: 'Stop', 15: 'No vehicles', 16: 'Vehicles over 3.5 metric tons prohibited', 17: 'No entry', 18: 'General caution', 19: 'Dangerous curve to the left', 20: 'Dangerous curve to the right', 21: 'Double curve', 22: 'Bumpy road', 23: 'Slippery road', 24: 'Road narrows on the right', 25: 'Road work', 26: 'Traffic signals', 27: 'Pedestrians', 28: 'Children crossing', 29: 'Bicycles crossing', 30: 'Beware of ice/snow', 31: 'Wild animals crossing', 32: 'End of all speed and passing limits', 33: 'Turn right ahead', 34: 'Turn left ahead', 35: 'Ahead only', 36: 'Go straight or right', 37: 'Go straight or left', 38: 'Keep right', 39: 'Keep left', 40: 'Roundabout mandatory', 41: 'End of no passing', 42: 'End of no passing by vehicles over 3.5 metric tons'}
for k in range(5): print (signId[k] , sign[signId[k]]) print("================================")
14 Stop ================================ 13 Yield ================================ 18 General caution ================================ 34 Turn left ahead ================================ 2 Speed limit (50km/h) ================================
ls -l ./web_pics
total 40 -rw-r--r-- 1 carnd carnd 4725 Mar 25 22:44 [0m[01;35m60_kmh.jpg[0m -rw-r--r-- 1 carnd carnd 4350 Mar 25 22:44 [01;35mleft_turn.jpeg[0m -rw-r--r-- 1 carnd carnd 4514 Mar 25 22:44 [01;35mroad_work.jpg[0m -rw-r--r-- 1 carnd carnd 4477 Mar 25 22:44 [01;35mstop_sign.jpg[0m -rw-r--r-- 1 carnd carnd 4464 Mar 25 22:44 [01;35myield_sign.jpg[0m
3.4: Output Top 5 Softmax Probabilities For Each Image Found on the Web
For each of the new images, print out the model's softmax probabilities to show the certainty of the model's predictions (limit the output to the top 5 probabilities for each image). tf.nn.top_k
could prove helpful here.
The example below demonstrates how tf.nn.top_k can be used to find the top k predictions for each image.
tf.nn.top_k
will return the values and indices (class ids) of the top k predictions. So if k=3, for each sign, it'll return the 3 largest probabilities (out of a possible 43) and the correspoding class ids.
Take this numpy array as an example. The values in the array represent predictions. The array contains softmax probabilities for five candidate images with six possible classes. tk.nn.top_k
is used to choose the three classes with the highest probability:
# (5, 6) array a = np.array([[ 0.24879643, 0.07032244, 0.12641572, 0.34763842, 0.07893497, 0.12789202], [ 0.28086119, 0.27569815, 0.08594638, 0.0178669 , 0.18063401, 0.15899337], [ 0.26076848, 0.23664738, 0.08020603, 0.07001922, 0.1134371 , 0.23892179], [ 0.11943333, 0.29198961, 0.02605103, 0.26234032, 0.1351348 , 0.16505091], [ 0.09561176, 0.34396535, 0.0643941 , 0.16240774, 0.24206137, 0.09155967]])
Running it through sess.run(tf.nn.top_k(tf.constant(a), k=3))
produces:
TopKV2(values=array([[ 0.34763842, 0.24879643, 0.12789202], [ 0.28086119, 0.27569815, 0.18063401], [ 0.26076848, 0.23892179, 0.23664738], [ 0.29198961, 0.26234032, 0.16505091], [ 0.34396535, 0.24206137, 0.16240774]]), indices=array([[3, 0, 5], [0, 1, 4], [0, 5, 1], [1, 3, 5], [1, 4, 3]], dtype=int32))
Looking just at the first row we get [ 0.34763842, 0.24879643, 0.12789202]
, you can confirm these are the 3 largest probabilities in a
. You'll also notice [3, 0, 5]
are the corresponding indices.
### Print out the top five softmax probabilities for the predictions on the German traffic sign images found on the web. ### Feel free to use as many code cells as needed. with tf.Session() as sess: predicts = sess.run(tf.nn.top_k(new_pics_classes, k=5, sorted=True)) for i in range(len(predicts[0])): probabilities = predicts[0][i] predicted_classes = predicts[1][i] print('Image', i,\ 'probabilities:', probabilities,\ '\n and predicted classes:', predicts[1][i])
Image 0 probabilities: [ 12.23980713 8.32987499 5.29931879 4.51511765 1.64859486] and predicted classes: [14 17 36 38 34] Image 1 probabilities: [ 20.34670448 11.3846302 6.09567165 1.00739896 0.98556668] and predicted classes: [13 35 34 9 3] Image 2 probabilities: [ 12.05598831 9.00940228 8.62032127 6.8418088 3.65508676] and predicted classes: [18 12 40 37 1] Image 3 probabilities: [ 13.12025452 8.07227325 -0.03553319 -1.66574371 -1.75805712] and predicted classes: [34 38 20 35 32] Image 4 probabilities: [ 4.97775316 2.17866445 1.98024666 1.00796783 0.97446799] and predicted classes: [ 2 10 9 5 7]
Predicted Result and actual picture visualization
plt.figure(figsize=(14, 17)) for i in range(5): plt.subplot(5, 2, 2*i+1) plt.imshow(web_pics_data[i,:,:,0],cmap = 'gray') plt.title(i) plt.axis('off') plt.subplot(5, 2, 2*i+2) plt.barh(np.arange(1, 6, 1), predicts.values[i, :]) labs1= [predicts[1][i][j] for j in range(5)] labs = [sign[labs1[j]] for j in range(5)] plt.yticks(np.arange(1, 6, 1), labs) plt.show()
Step 4: Visualize the Neural Network's State with Test Images
This Section is not required to complete but acts as an additional excersise for understaning the output of a neural network's weights. While neural networks can be a great learning device they are often referred to as a black box. We can understand what the weights of a neural network look like better by plotting their feature maps. After successfully training your neural network you can see what it's feature maps look like by plotting the output of the network's weight layers in response to a test stimuli image. From these plotted feature maps, it's possible to see what characteristics of an image the network finds interesting. For a sign, maybe the inner network feature maps react with high activation to the sign's boundary outline or to the contrast in the sign's painted symbol.
Provided for you below is the function code that allows you to get the visualization output of any tensorflow weight layer you want. The inputs to the function should be a stimuli image, one used during training or a new one you provided, and then the tensorflow variable name that represents the layer's state during the training process, for instance if you wanted to see what the LeNet lab's feature maps looked like for it's second convolutional layer you could enter conv2 as the tf_activation variable.
For an example of what feature map outputs look like, check out NVIDIA's results in their paper End-to-End Deep Learning for Self-Driving Cars in the section Visualization of internal CNN State. NVIDIA was able to show that their network's inner weights had high activations to road boundary lines by comparing feature maps from an image with a clear path to one without. Try experimenting with a similar test to show that your trained network's weights are looking for interesting features, whether it's looking at differences in feature maps from images with or without a sign, or even what feature maps look like in a trained network vs a completely untrained one on the same sign image.
Setting Function
### Visualize your network's feature maps here. ### Feel free to use as many code cells as needed. # image_input: the test image being fed into the network to produce the feature maps # tf_activation: should be a tf variable name used during your #training procedure that represents the calculated state of a specific weight layer # activation_min/max: can be used to view the activation contrast in more detail, # by default matplot sets min and max to the actual min and max values of the output # plt_num: used to plot out multiple different weight feature map sets on the same block, #just extend the plt number for each new feature map entry def outputFeatureMap(image_input, tf_activation,\ activation_min=-1, activation_max=-1 ,plt_num=1): # Here make sure to preprocess your image_input in a way your network expects # with size, normalization, ect if needed # image_input = # Note: x should be the same name as your network's tensorflow data placeholder variable # If you get an error tf_activation is not defined it maybe having trouble #accessing the variable from inside a function activation = tf_activation.eval(session=tf.get_default_session(),\ feed_dict={x: image_input}) featuremaps = activation.shape[3] plt.figure(plt_num, figsize=(15,15)) for featuremap in range(featuremaps): # sets the number of feature maps to show on each row and column plt.subplot(6,8, featuremap+1) # displays the feature map number plt.title('FeatureMap ' + str(featuremap)) if activation_min != -1 & activation_max != -1: plt.imshow(activation[0,:,:, featuremap],\ interpolation="nearest",\ vmin =activation_min,\ vmax=activation_max,\ cmap="gray") elif activation_max != -1: plt.imshow(activation[0,:,:, featuremap],\ interpolation="nearest",\ vmax=activation_max,\ cmap="gray") elif activation_min !=-1: plt.imshow(activation[0,:,:, featuremap],\ interpolation="nearest",\ vmin=activation_min,\ cmap="gray") else: plt.imshow(activation[0,:,:, featuremap],\ interpolation="nearest",\ cmap="gray")
Plot of visual output
mu = 0 sigma = 0.1 x = tf.placeholder(tf.float32, (None, 32, 32, 1)) y = tf.placeholder(tf.int32, (None)) my_image = web_pics_data[0] '''first conv-layer''' c1_weight = tf.Variable(tf.truncated_normal(shape = (5, 5, 1, 6),\ mean = mu,\ stddev = sigma)) c1_bias = tf.Variable(tf.zeros(6)) conv_layer1 = tf.nn.conv2d(x, c1_weight,\ strides=[1, 1, 1, 1],\ padding='VALID', name = 'conv1')+ c1_bias '''second conv layer''' c2_weight = tf.Variable(tf.truncated_normal(shape = (5, 5, 6, 16),\ mean = mu,\ stddev = sigma)) c2_bias = tf.Variable(tf.zeros(16)) conv_layer2 = tf.nn.conv2d(conv_layer1, c2_weight,\ strides=[1, 1, 1, 1],\ padding='VALID', name = 'conv2') + c2_bias with tf.Session() as sess: saver.restore(sess, tf.train.latest_checkpoint('.')) sess.run(tf.global_variables_initializer()) my_tensor1 = sess.graph.get_tensor_by_name('conv1:0') my_tensor2 = sess.graph.get_tensor_by_name('conv2:0') outputFeatureMap([my_image],my_tensor1) outputFeatureMap([my_image],my_tensor2)
Question 9
Discuss how you used the visual output of your trained network's feature maps to show that it had learned to look for interesting characteristics in traffic sign images
Answer:
Tensorflow allows us to share the variables (ex:sess.graph.get_tensor_by_name('conv1:0')
and it becomes possible to draw intermediate data during the training model.
The visual output gives us the idea of sharp edge detection and other tendencies in distribution of pixcel intensities. As the layer increases ie. becomes more and more deeper it tries to learn more hidden properties which are not obvious in the single layer.
Note: Once you have completed all of the code implementations and successfully answered each question above, you may finalize your work by exporting the iPython Notebook as an HTML document. You can do this by using the menu above and navigating to \n", "File -> Download as -> HTML (.html). Include the finished document along with this notebook as your submission.
Project Writeup
Once you have completed the code implementation, document your results in a project writeup using this template as a guide. The writeup can be in a markdown or pdf file.